The move came at time when British Prime Minister Theresa May is on a three-day visit to India and a day after India asked Britain to extradite nearly 60 people wanted by it for bringing them back to face justice here.
Letters Rogatory are issued when court or investigators want help from judicial authorities in another country.
The ED application seeks that competent authorities in the UK take steps necessary for locating and identifying Modi.
Special ED counsel Hiten Venegoankar is likely to begin his arguments before the Prevention of Money Laundering Act (PMLA) court on Thursday.
The agency is probing the case against Modi in connection with a 2008 deal between World Sports Group (WSG) and Multi Screen Media (MSM) for television rights worth Rs 425 crore for the Indian Premier League season.
So far, three LRs have been issued against Modi by the same court to authorities in Singapore, Mauritius and UAE.
The court had issued a non-bailable arrest warrant against the high-profile former IPL boss, believed to be in the UK, on August 6 last year.
In 2008, after BCCI awarded IPL media rights for 10 years to WSG for USD 918 million, WSG entered into a deal with Multi Screen Media to make latter's television channel Sony the official broadcaster of IPL.
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